function vol = gquad6(fun,xlow,xhigh,ylow,yhigh) %usage: vol = gquad6(fun,xlow,xhigh,ylow,yhigh) % % ==== Six Point by Six Point Double Integral Gauss Formula ==== % % This function determines the volume under an externally % defined function fun(x,y) between limits xlow and xhigh and % ylow and yhigh. The numerical integration is performed using % a gauss integration rule. The integration is done with a % six point Gauss formula which involves base % points bpx, bpy and weight factors wfxy. The normalized interval % of integration for the bp and wf constants is -1 to +1 (in x) and % -1 to 1 (in y). The algorithm is structured in terms of a % parameter nquad = 6 which can be changed to accommodate a different % order formula. % by Bryce Gardner, Purdue University, Spring 1993 % modified from gquad6.m by Howard B. Wilson, U. of Alabama, Spring 1990 nquad = 6; nquadx = nquad; nquady = nquad; [bpx,bpy,wfxy] = grule2d(nquadx,nquady); vol = gquad2d(fun,xlow,xhigh,ylow,yhigh,bpx,bpy,wfxy);